US9738033B2 - Method and system for building painted three-dimensional objects - Google Patents
Method and system for building painted three-dimensional objects Download PDFInfo
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- US9738033B2 US9738033B2 US14/696,878 US201514696878A US9738033B2 US 9738033 B2 US9738033 B2 US 9738033B2 US 201514696878 A US201514696878 A US 201514696878A US 9738033 B2 US9738033 B2 US 9738033B2
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- 238000000034 method Methods 0.000 title claims abstract description 35
- 239000004566 building material Substances 0.000 claims abstract description 51
- 238000007639 printing Methods 0.000 claims abstract description 49
- 239000000463 material Substances 0.000 claims abstract description 24
- 239000000654 additive Substances 0.000 claims abstract description 22
- 230000000996 additive effect Effects 0.000 claims abstract description 16
- 238000000151 deposition Methods 0.000 claims abstract description 11
- 238000007641 inkjet printing Methods 0.000 claims description 3
- 239000003086 colorant Substances 0.000 description 36
- 239000010410 layer Substances 0.000 description 33
- 230000015654 memory Effects 0.000 description 12
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- 239000011241 protective layer Substances 0.000 description 1
- 239000004065 semiconductor Substances 0.000 description 1
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Images
Classifications
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- B29C67/0059—
-
- B—PERFORMING OPERATIONS; TRANSPORTING
- B41—PRINTING; LINING MACHINES; TYPEWRITERS; STAMPS
- B41M—PRINTING, DUPLICATING, MARKING, OR COPYING PROCESSES; COLOUR PRINTING
- B41M1/00—Inking and printing with a printer's forme
- B41M1/14—Multicolour printing
- B41M1/18—Printing one ink over another
-
- B—PERFORMING OPERATIONS; TRANSPORTING
- B28—WORKING CEMENT, CLAY, OR STONE
- B28B—SHAPING CLAY OR OTHER CERAMIC COMPOSITIONS; SHAPING SLAG; SHAPING MIXTURES CONTAINING CEMENTITIOUS MATERIAL, e.g. PLASTER
- B28B1/00—Producing shaped prefabricated articles from the material
- B28B1/001—Rapid manufacturing of 3D objects by additive depositing, agglomerating or laminating of material
-
- B—PERFORMING OPERATIONS; TRANSPORTING
- B29—WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
- B29C—SHAPING OR JOINING OF PLASTICS; SHAPING OF MATERIAL IN A PLASTIC STATE, NOT OTHERWISE PROVIDED FOR; AFTER-TREATMENT OF THE SHAPED PRODUCTS, e.g. REPAIRING
- B29C64/00—Additive manufacturing, i.e. manufacturing of three-dimensional [3D] objects by additive deposition, additive agglomeration or additive layering, e.g. by 3D printing, stereolithography or selective laser sintering
- B29C64/10—Processes of additive manufacturing
- B29C64/106—Processes of additive manufacturing using only liquids or viscous materials, e.g. depositing a continuous bead of viscous material
- B29C64/112—Processes of additive manufacturing using only liquids or viscous materials, e.g. depositing a continuous bead of viscous material using individual droplets, e.g. from jetting heads
-
- B—PERFORMING OPERATIONS; TRANSPORTING
- B29—WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
- B29C—SHAPING OR JOINING OF PLASTICS; SHAPING OF MATERIAL IN A PLASTIC STATE, NOT OTHERWISE PROVIDED FOR; AFTER-TREATMENT OF THE SHAPED PRODUCTS, e.g. REPAIRING
- B29C64/00—Additive manufacturing, i.e. manufacturing of three-dimensional [3D] objects by additive deposition, additive agglomeration or additive layering, e.g. by 3D printing, stereolithography or selective laser sintering
- B29C64/10—Processes of additive manufacturing
- B29C64/106—Processes of additive manufacturing using only liquids or viscous materials, e.g. depositing a continuous bead of viscous material
- B29C64/124—Processes of additive manufacturing using only liquids or viscous materials, e.g. depositing a continuous bead of viscous material using layers of liquid which are selectively solidified
-
- B—PERFORMING OPERATIONS; TRANSPORTING
- B29—WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
- B29C—SHAPING OR JOINING OF PLASTICS; SHAPING OF MATERIAL IN A PLASTIC STATE, NOT OTHERWISE PROVIDED FOR; AFTER-TREATMENT OF THE SHAPED PRODUCTS, e.g. REPAIRING
- B29C64/00—Additive manufacturing, i.e. manufacturing of three-dimensional [3D] objects by additive deposition, additive agglomeration or additive layering, e.g. by 3D printing, stereolithography or selective laser sintering
- B29C64/30—Auxiliary operations or equipment
- B29C64/386—Data acquisition or data processing for additive manufacturing
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- B29C67/0088—
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B33—ADDITIVE MANUFACTURING TECHNOLOGY
- B33Y—ADDITIVE MANUFACTURING, i.e. MANUFACTURING OF THREE-DIMENSIONAL [3-D] OBJECTS BY ADDITIVE DEPOSITION, ADDITIVE AGGLOMERATION OR ADDITIVE LAYERING, e.g. BY 3-D PRINTING, STEREOLITHOGRAPHY OR SELECTIVE LASER SINTERING
- B33Y10/00—Processes of additive manufacturing
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B33—ADDITIVE MANUFACTURING TECHNOLOGY
- B33Y—ADDITIVE MANUFACTURING, i.e. MANUFACTURING OF THREE-DIMENSIONAL [3-D] OBJECTS BY ADDITIVE DEPOSITION, ADDITIVE AGGLOMERATION OR ADDITIVE LAYERING, e.g. BY 3-D PRINTING, STEREOLITHOGRAPHY OR SELECTIVE LASER SINTERING
- B33Y50/00—Data acquisition or data processing for additive manufacturing
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B41—PRINTING; LINING MACHINES; TYPEWRITERS; STAMPS
- B41M—PRINTING, DUPLICATING, MARKING, OR COPYING PROCESSES; COLOUR PRINTING
- B41M5/00—Duplicating or marking methods; Sheet materials for use therein
- B41M5/0041—Digital printing on surfaces other than ordinary paper
- B41M5/0047—Digital printing on surfaces other than ordinary paper by ink-jet printing
-
- B—PERFORMING OPERATIONS; TRANSPORTING
- B41—PRINTING; LINING MACHINES; TYPEWRITERS; STAMPS
- B41M—PRINTING, DUPLICATING, MARKING, OR COPYING PROCESSES; COLOUR PRINTING
- B41M7/00—After-treatment of prints, e.g. heating, irradiating, setting of the ink, protection of the printed stock
- B41M7/0027—After-treatment of prints, e.g. heating, irradiating, setting of the ink, protection of the printed stock using protective coatings or layers by lamination or by fusion of the coatings or layers
-
- G—PHYSICS
- G05—CONTROLLING; REGULATING
- G05B—CONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
- G05B15/00—Systems controlled by a computer
- G05B15/02—Systems controlled by a computer electric
-
- B—PERFORMING OPERATIONS; TRANSPORTING
- B29—WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
- B29K—INDEXING SCHEME ASSOCIATED WITH SUBCLASSES B29B, B29C OR B29D, RELATING TO MOULDING MATERIALS OR TO MATERIALS FOR MOULDS, REINFORCEMENTS, FILLERS OR PREFORMED PARTS, e.g. INSERTS
- B29K2995/00—Properties of moulding materials, reinforcements, fillers, preformed parts or moulds
- B29K2995/0018—Properties of moulding materials, reinforcements, fillers, preformed parts or moulds having particular optical properties, e.g. fluorescent or phosphorescent
- B29K2995/002—Coloured
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B33—ADDITIVE MANUFACTURING TECHNOLOGY
- B33Y—ADDITIVE MANUFACTURING, i.e. MANUFACTURING OF THREE-DIMENSIONAL [3-D] OBJECTS BY ADDITIVE DEPOSITION, ADDITIVE AGGLOMERATION OR ADDITIVE LAYERING, e.g. BY 3-D PRINTING, STEREOLITHOGRAPHY OR SELECTIVE LASER SINTERING
- B33Y50/00—Data acquisition or data processing for additive manufacturing
- B33Y50/02—Data acquisition or data processing for additive manufacturing for controlling or regulating additive manufacturing processes
-
- G—PHYSICS
- G05—CONTROLLING; REGULATING
- G05B—CONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
- G05B2219/00—Program-control systems
- G05B2219/30—Nc systems
- G05B2219/49—Nc machine tool, till multiple
- G05B2219/49023—3-D printing, layer of powder, add drops of binder in layer, new powder
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y10—TECHNICAL SUBJECTS COVERED BY FORMER USPC
- Y10T—TECHNICAL SUBJECTS COVERED BY FORMER US CLASSIFICATION
- Y10T428/00—Stock material or miscellaneous articles
- Y10T428/24—Structurally defined web or sheet [e.g., overall dimension, etc.]
- Y10T428/24802—Discontinuous or differential coating, impregnation or bond [e.g., artwork, printing, retouched photograph, etc.]
- Y10T428/24851—Intermediate layer is discontinuous or differential
- Y10T428/24868—Translucent outer layer
- Y10T428/24876—Intermediate layer contains particulate material [e.g., pigment, etc.]
Definitions
- the object is formed by selectively depositing material from a deposition device, such as an inkjet print head in successive layers based on cross sections of the object.
- a deposition device such as an inkjet print head
- the final product can be uni color, in some cases, a painted three-dimensional object is desired.
- FIG. 1 is a flowchart diagram of a method for forming g a three dimensional colored object according to embodiments of the invention
- FIG. 2 is graphical representations of an exemplary bitmap of a layer of the 3D object according to embodiments of the invention.
- FIG. 3 is a schematic illustration of an exemplary printing system according to embodiments of the invention.
- the terms “layer” and “object layer” as used herein may be used throughout the specification and claims to describe any lamina or film that may represent a cross-section or slice in an X-Y plane of a three-dimensional object.
- a layer may be formed and adhered to previously formed and adhered layers in a “layer by layer” fashion to create, build up or form in the Z direction a three-dimensional object.
- Embodiments of the present invention are directed to a method of selectively depositing materials, layer by layer, to form a painted or colored three-dimensional (3D) object.
- the 3D colored object may be formed by selectively dispensing colored materials on at least a portion of the outer circumference of at least some of the layers.
- the width of the circumference or outline of a layer may include a few pixels and may be, for example, between 0.1 and 1 mm.
- a white bather outline may be formed adjacent to the colored outline of the layer using white building material and the building material used for the bulk of the 3D object may be transparent, white or colored, as desired.
- the white outline may be used as a white background to the apparent colored surface to ensure perception of bright colors and a large color gamut. It may enable using colorant types similar to those used for 2D white page printing. Further, the color calculations may be based on 2D color theory utilizing process color systems such as CMY, CMYK or CMYOGK. As known to a person skilled in the art, C stands for cyan, M for magenta, Y for yellow, O for orange, G for green and K for black.
- the method may include generating the image data by dividing the apparent surface of the 3D object into 3D color cells where each colored cell is defined by a tangential area with respect to the apparent surface and a depth dimension directing toward the inner region of the object.
- the size of each 3D color cell may be determined according to the desired color spatial resolution and the desired color shade resolution in the surface area associated with the 3D color cell.
- the method may further include generating color patterns for the 3D color cell according to the desired color shade of the cell, namely determining within the cell the desired basic color for each building voxel (volume pixel).
- the color pattern of the 3D color cells and additional data related, for example, to the shape of the object may be used as input data for generating the two-dimensional (2D) image data for each cross sectional layer of the object.
- the outline color data representing the outer circumference of each layer may be generated.
- the 2D image data of the layers may be used to selectively deposit materials of different colors based on the 2D image data to produce the 3D colored object.
- the visual color at a point on the surface is “determined” by the color at that point and the colors of adjacent points on the surface and near the surface within the object. Therefore, each point may be affected by its adjacent points on the surface and within the object. It should be understood that these points are distributed across a plurality of printable layers that represent different parallel cross sections of the object.
- the color pattern for the apparent surface of the 3D object may be determined using any known process color system.
- CMY three-color system
- C cyan
- Y yellow
- M magenta
- K black
- an additional white color (W) may be required to reflect the colorants which are not transmitted by the process colors and to be able to use a large number of different colors and shades.
- the range of colors may also be increase by half toning.
- Half toning permits one to print using less than full saturation of the primary or basic colors (CMY).
- CY primary or basic colors
- small dots of each primary color may be printed in a pattern that may be small enough that the human eye may only perceive a single color.
- one may create a halftone mix of cyan and yellow.
- Half toning is usually described in terms of gray levels.
- N gray N x *N y , where N x is the number of pixels in the 2D color cell in X direction and N y is the number of pixels in the 2D color cell in the Y direction.
- N printing N gray 3
- the number of gray levels for each colorant is equal to the number of voxels in the 3D color cell that is used to create the local color.
- the 3D color cell may include both colored and uncolored voxels.
- the colored voxel may be formed by depositing both a transparent building material and a color additive onto the same point or by depositing a colored building material.
- the uncolored voxels may be formed by depositing white building material.
- the number of possible different colors, N printing (3D) may be different from number of possible different colors, N printing in 2D printing, when using colored building materials where the volume of the droplets of the different colored building materials is substantially the same. This is due to the fact that once a voxel is filled with a colored building material, it cannot accept another colored building material color.
- N printing(3D) N gray n
- the resolution of the printing heads and bitmaps associated with the color additives may be different than the resolution of the printing head and bitmaps associated with building material. This is because the size of the colored material droplets does not necessarily have to be equal to the building material droplets. Using smaller droplets for the additive may increase the number of gray levels. For example, if the color resolution is twice the building material resolution in both the X and Y directions, the number of gray levels for each color, N gray would be 4 times larger than the number of gray levels of a color that resolution that is identical to the building material resolution. According to exemplary embodiments of the present invention, the volume of each droplet of the color additive may be 1 ⁇ 5 of the volume of each building material droplet.
- FIG. 1 is flowchart diagram of a method for generating a color pattern for the apparent surface of a 3D object and 2D image data for printing the 3D painted object according to embodiments of the invention.
- the method of assigning color to the apparent surface of the object may include dividing the apparent surface of the object into small patches where each patch defines a face of a 3D color cell (box 100 ).
- each patch lies in a plane perpendicular to the normal of the surface at a respective point and has a tangential size which is determined by the desired spatial resolution of the color.
- the depth or thickness dimension of the 3D color cell may be determined by the number of gray levels that is desired for the color cell, namely, the color shade resolution.
- the process may include calculating the number of voxels in each color cell that should receive each of the basic colors (box 200 ). Accordingly, the process may include determining, for each color cell, the number of basic colors that should be assigned to the cells and which basic colors should be assigned to that cell and then calculating the number of voxels in the cell that should receive the assigned basic colors.
- the assigned basic colors may be scattered evenly within the color cell among the voxels associated with the particular cell.
- the basic colors are deposited as additives to a transparent building material, more than one basic color may be deposited onto the same voxel. In such case, each basic color may be added to any number of voxels that is equal or smaller than the total number of voxels (N) in the 3D cell.
- N total number of voxels
- the calculation of the color pattern of the color cell or color separation is similar to the calculation for 2D printing. It should be understood to a person skilled in the art that although the apparent surface of the object may not be flat, the area of the surface that is associated with a single color cell is small enough to be regarded as an area on a plane perpendicular to the normal to the surface at a point on the surface.
- the calculation of a color pattern of the 3D cell may be performed similarly to the calculation of a 2D color pattern since for a subtractive color system, such as YMCK, the color appearance of an area would be the same for a 2D cell or a 3D cell having the same mixture of basic colors and there would be no difference if the colored voxels are behind each other or near each other.
- a subtractive color system such as YMCK
- the calculation of color separation may be modified when the basic colors are a-priori inserted into the building materials to form colored building materials. As discussed, in such case, no more than one color may be assigned to a particular voxel. Accordingly, if the calculation of the color pattern results in the need for more voxels that may exist in the 3D cell, the number of voxels in the call may be increased by increasing the depth dimension of the cell. Alternatively, the number of color voxels for each separation may be proportionally decreased so that the sum of color voxels would not exceed the number of voxels in the 3D cell.
- the process may include assigning the colors to voxels in the 3D color cells by arranging the colors within the cell.
- the colored voxels are chosen to be close to the apparent surface, if possible (box 300 ).
- the outcome of this process is the color pattern for the 3D cell where each voxel is either a colored voxel for which one or more basic colors are assigned to or uncolored voxel on which a white building material would be deposited.
- the two-dimensional (2D) image data for each cross sectional layer of the object may be generated (box 400 ).
- the image data may include a white barrier outline having a width of several voxels located adjacent to the colored outline of the layer.
- the white building material may be deposited in each 2D layer to form a white barrier in the final product placed in between the apparent painted surface and the interior of the object that may be transparent.
- the color calculation and colorant type may become similar to those used in the field of 2D printing on a white substrate.
- the image data may include a transparent layer as the outer layer.
- the transparent layer may serve as a protective layer to protect the painted surface from deterioration and color modification over time.
- the transparent layer may increase the glossiness of the color and/or add hardness to the surface.
- the number of gray level for each base color namely the desired color shade resolution may be selected independently of the desired color spatial resolution that is determined by the size of the tangential area of the cell. This is in contrast to 2D printing where the color spatial resolution and the color shade resolution are dependent of each other.
- the size of the 2D cell is chosen to be small and therefore the number of pixels is reduced, which in turn reduces the number of possible gray levels.
- the number of possible gray levels in a 3D color cell may be adjusted by changing the depth dimension of the cell without changing the tangential area of the cell.
- the number of voxels in the cell may be increased by increasing the depth dimension of the cell.
- a user or a software module may determine a desired spatial resolution and a desired color shade resolution for a basic color. color shade resolution).
- the desired spatial resolution may determine the size of the tangential area ⁇ s for all the color cells.
- the number of gray levels per color may be determined.
- N may be regarded as equal to the desired number of gray levels per color.
- the size of the tangential area ⁇ s may vary according to the content of the painted surface. For example, if the required color varies strongly between a first area on the surface and a second area, the software may determine, in order to achieve a better print quality, that the tangential area for color cells in the first area may have smaller size than the tangential area for color cells in the second area.
- the depth dimension of the cell may be varied according to Eq. 1.
- both the size of the tangential area ⁇ s and the number of voxel in the cell may be determined locally based on the content of the painted surface.
- layer bitmap 10 may comprise building material pixels 12 , namely pixels representing a command to deposit non-colored building material, white pixels 14 representing the white barrier, and colored pixels 16 .
- colored pixels 16 are only located on the outer circumference of layer bitmap 10 .
- the width of the white barrier is 4 pixels for the entire circumference of the barrier. It should be understood that embodiments of the invention are not limited in this respect and other width may ne likewise applicable.
- Colored pixels 16 may be intended to accept one or more basic colors. The color white may be used on the apparent outer surface in cases where any of the other colors are not used. The reason for this is so that the outer surface of the three-dimensional object is kept smooth.
- the remainder of layer bitmap 10 may comprise building material pixels 12 .
- the building material is transparent.
- the building material may be white material.
- the white building material may serve the same purpose as white pixels 14 . It should, however, be understood to a person skilled in the art that embodiments of the invention are not limited in this respect and that the building materials may be tinted with any other color.
- a deposition system such as, an inkjet printing system 30 may include a fabrication platform or tray 32 , a printing head 34 that is used to dispense building material and at least one colored printing head 36 that is used to dispense colorants.
- the system may comprise four separate color printing heads 36 .
- System 30 may further include a leveling device 38 and at least one curing unit 40 .
- Printing heads 34 and 36 may be coupled to a moving frame 42 to enable the printing heads to move above fabrication tray 32 in both X and Y directions.
- System 30 may further include a controller 44 , such as a microprocessor to control the printing process.
- a controller may include components such as, but not limited to, a plurality of central processing units (CPU) or any other suitable multi-purpose or specific processors or controllers, a plurality of input units, a plurality of output units, a plurality of memory units, and a plurality of storage units.
- Such system may additionally include other suitable hardware components and/or software components.
- Controller 44 may instruct the print heads to selectively deposit building materials and color additives based on image data generated according to embodiments of the present invention. Accordingly, controller 44 may include computer-storage medium having stored thereon instructions that may be delivered to the printing heads for selectively printing layer by layer.
- the material used in color printing heads 36 may or may not be the same material which is used for the building material.
- the building material may be a photopolymer with a high viscosity.
- the colored material may be an additive to the building material made of a material that is not polymerizable.
- the colorant may be based on a low viscosity material to enable the use of unheated printing heads. Since the quantity of colored material used in each layer is only a fraction of the total amount of material used in each layer, the storage tanks (not shown) used for the colored material may be placed as close as possible to colored printing heads 36 , while the storage tank (not shown) used for the building material may placed in a stationary location and connected to printing head 34 by pipe.
- the color additives may be dispensed before the building material, so that leveling apparatus 38 may not reduce the amount of the colorant.
- printing head 34 may be placed between leveling apparatus 38 and color printing heads 36 .
- the terms “plurality” and “a plurality” as used herein may include, for example, “multiple” or “two or more”.
- the terms “plurality” or “a plurality” may be used throughout the specification to describe two or more components, devices, elements, units, parameters, or the like.
- a plurality of printing heads may include two or more printing heads.
- Embodiments of the invention may include an article such as a computer or processor readable medium, or a computer or processor storage medium, such as for example a memory, a disk drive, or a USB flash memory, encoding, including or storing instructions, e.g., computer-executable instructions, which when executed by a processor or controller, carry out methods disclosed herein.
- an article such as a computer or processor readable medium, or a computer or processor storage medium, such as for example a memory, a disk drive, or a USB flash memory, encoding, including or storing instructions, e.g., computer-executable instructions, which when executed by a processor or controller, carry out methods disclosed herein.
- Some embodiments of the present invention may be implemented in software for execution by a processor-based system.
- embodiments of the invention may be implemented in code and may be stored on a storage medium having stored thereon instructions which can be used to program a system to perform the instructions.
- the storage medium may include, but is not limited to, any type of disk including floppy disks, optical disks, compact disk read-only memories (CD-ROMs), rewritable compact disk (CD-RW), and magneto-optical disks, semiconductor devices such as read-only memories (ROMs), random access memories (RAMs), such as a dynamic RAM (DRAM), erasable programmable read-only memories (EPROMs), flash memories, electrically erasable programmable read-only memories (EEPROMs), magnetic or optical cards, or any type of media suitable for storing electronic instructions, including programmable storage devices.
- ROMs read-only memories
- RAMs random access memories
- DRAM dynamic RAM
- EPROMs erasable programmable read-only memories
- Such a system may include components such as, but not limited to, a plurality of central processing units (CPU) or any other suitable multi-purpose or specific processors or controllers, a plurality of input units, a plurality of output units, a plurality of memory units, and a plurality of storage units.
- Such system may additionally include other suitable hardware components and/or software components.
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Abstract
Description
N gray =N x *N y,
where Nx is the number of pixels in the 2D color cell in X direction and Ny is the number of pixels in the 2D color cell in the Y direction.
Nprinting=Ngray 3
-
- for the 3-color system.
N gray =N x *N y *N z,
where Nx, Ny and Nz are the number of pixels in the color cell in the X, Y and Z directions respectively.
N printing(3D) =N gray!/((N gray−4)!*4!) and
N printing(3D) =N gray!/((N gray −n)!*n!),
-
- for the general case of the n-color system.
Nprinting(3D)=Ngray n
-
- for an n-color system, where n represents the number of color materials.
D=v*N/Δs, [eq. 1]
Where v is the volume of a voxel and N is the number of voxels in the 3D cell. When the basic colors are additives to the building material, N may be regarded as equal to the desired number of gray levels per color.
Claims (8)
Priority Applications (3)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
US14/696,878 US9738033B2 (en) | 2009-02-03 | 2015-04-27 | Method and system for building painted three-dimensional objects |
US15/673,440 US10399374B2 (en) | 2009-02-03 | 2017-08-10 | Method and system for building painted three-dimensional objects |
US16/514,398 US11104169B2 (en) | 2009-02-03 | 2019-07-17 | Method and system for building painted three-dimensional objects |
Applications Claiming Priority (3)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
US12/364,595 US7991498B2 (en) | 2009-02-03 | 2009-02-03 | Method and system for building painted three-dimensional objects |
US13/195,667 US9020627B2 (en) | 2009-02-03 | 2011-08-01 | Method and system for building painted three-dimensional objects |
US14/696,878 US9738033B2 (en) | 2009-02-03 | 2015-04-27 | Method and system for building painted three-dimensional objects |
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US11633919B2 (en) | 2019-06-12 | 2023-04-25 | Stratasys Ltd. | System and method for three-dimensional printing |
US12202207B2 (en) | 2019-06-12 | 2025-01-21 | Stratasys Ltd. | System and method for three-dimensional printing |
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US20170334130A1 (en) | 2017-11-23 |
US20100195122A1 (en) | 2010-08-05 |
US9020627B2 (en) | 2015-04-28 |
US20150224717A1 (en) | 2015-08-13 |
US20190337315A1 (en) | 2019-11-07 |
US20110285054A1 (en) | 2011-11-24 |
US10399374B2 (en) | 2019-09-03 |
US11104169B2 (en) | 2021-08-31 |
US7991498B2 (en) | 2011-08-02 |
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